Video: Dab tsi yog qhov derivative ntawm Secx 2?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Peb paub cov derivative g(x) = sec x yog g'(x) = secx ua tanx, yog li peb muab 2sec x los ntawm secx ua tanx tau txais peb cov lus teb. Peb pom tias cov npe s2x yog 2sec 2 x ib tan x.
Kuj paub, dab tsi yog qhov derivative ntawm Secx?
(Math | Calculus | Derivatives | Table Of)
| sin x = cos x Proof | csc x = -csc x cot x Pov thawj |
|---|---|
| cos x = - sin x Proof | sec x = sec x tan x Proof |
| tan x = sec2 x Pov thawj | cot x = - csc2 x Pov thawj |
Kuj Paub, dab tsi yog qhov derivative ntawm Arctangent? = cos2 y. Hmoov tsis zoo, peb xav tau derivative raws li kev ua haujlwm ntawm x, tsis yog y. Peb yuav tsum tam sim no ntsaws rau hauv cov qauv qub rau y, uas yog y = tan−1 x, kom tau y? = cos2( arctan (x)). Qhov no yog lo lus teb raug tab sis nws tuaj yeem ua kom yooj yim heev.
Kuj paub, dab tsi yog qhov tseem ceeb ntawm SEC 2x?
Cov ib qho fo sec ( 2x ib ) yog 12ln|sec( 2x ib ) + tus( 2x ib )|+C 1 2 l n| s e c ( 2 x ib ) + t a n ( 2 x ib ) | + C, qhov twg C yog qhov tsis tu ncua.
Dab tsi yog derivative ntawm 1?
Cov Derivative qhia peb txoj kab nqes ntawm txoj haujlwm ntawm txhua qhov chaw. Muaj cov cai uas peb tuaj yeem ua raws mus nrhiav tau ntau derivatives . Piv txwv li: Qhov nqes hav ntawm tus nqi tas li (xws li 3) yog ib txwm 0.
Derivative Cov cai.
| Kev Ua Haujlwm | Muaj nuj nqi | Derivative |
|---|---|---|
| Tsis tu ncua | c | 0 |
| Kab | x | 1 |
| ax | a | |
| Square | x2 | 2x ib |
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